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Finding the Fourth Proportional to 274,872.20, 412,308.30 and 164,280.20

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Solution

The fourth proportional to 274,872.20, 412,308.30 and 164,280.20 is: 246,420.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,872.20 : 412,308.30 = 164,280.20 : x
  2. Step 2: Convert to fraction form
    274,872.20/412,308.30 = 164,280.20/x
  3. Step 3: Cross multiply
    274,872.20x = 412,308.30 × 164,280.20
  4. Step 4: Simplify right side
    274,872.20x = 67,734,089,985.66
  5. Step 5: Solve for x
    x = 67,734,089,985.66/274,872.20
  6. Step 6: Final answer
    x = 246,420.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.